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Finding the Fourth Proportional to 9,868, 13,617.84 and 5,678.80

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Solution

The fourth proportional to 9,868, 13,617.84 and 5,678.80 is: 7,836.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868 : 13,617.84 = 5,678.80 : x
  2. Step 2: Convert to fraction form
    9,868/13,617.84 = 5,678.80/x
  3. Step 3: Cross multiply
    9,868x = 13,617.84 × 5,678.80
  4. Step 4: Simplify right side
    9,868x = 77,332,989.79
  5. Step 5: Solve for x
    x = 77,332,989.79/9,868
  6. Step 6: Final answer
    x = 7,836.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.